Quantum atom optics : theory and applications to quantum technology / Tim Byrnes, Ebubechukwu O. Ilo-Okeke.

Format:

Book

Author/Creator:

Byrnes, Tim, author.

Ilo-Okeke, Ebubechukwu O., author.

Language:

English

Subjects (All):

Quantum optics.

Quantum theory--Industrial applications.

Quantum theory.

Physical Description:

1 online resource (xiv, 249 pages) : digital, PDF file(s).

Edition:

1st ed.

Place of Publication:

Cambridge : Cambridge University Press, 2021.

Summary:

The rapid development of quantum technologies has driven a revolution in related research areas such as quantum computation and communication, and quantum materials. The first prototypes of functional quantum devices are beginning to appear, frequently created using ensembles of atoms, which allow the observation of sensitive, quantum effects, and have important applications in quantum simulation and matter wave interferometry. This modern text offers a self-contained introduction to the fundamentals of quantum atom optics and atomic many-body matter wave systems. Assuming a familiarity with undergraduate quantum mechanics, this book will be accessible for graduate students and early career researchers moving into this important new field. A detailed description of the underlying theory of quantum atom optics is given, before development of the key, quantum, technological applications, such as atom interferometry, quantum simulation, quantum metrology, and quantum computing.

Contents:

Cover

Half-title

Title page

Copyright page

Dedication

Contents

Foreword

Preface

1 Quantum Many-Body Systems

1.1 Introduction

1.2 Second Quantization

1.3 Fock States

1.4 Multimode Fock States

1.5 Interactions

1.6 References and Further Reading

2 Bose-Einstein Condensation

2.1 Introduction

2.2 Bose and Einstein's Original Argument

2.3 Bose-Einstein Condensation for a Grand Canonical Ensemble

2.4 Low-Energy Excited States

2.5 Superfluidity

2.6 References and Further Reading

3 The Order Parameter and Gross-Pitaevskii Equation

3.1 Introduction

3.2 Order Parameter

3.3 The Gross-Pitaevskii Equation

3.4 Ground State Solutions of the Gross-Pitaevskii Equation

3.5 Hydrodynamic Equations

3.6 Excited State Solutions of the Gross-Pitaevskii Equation

3.7 References and Further Reading

4 Spin Dynamics of Atoms

4.1 Introduction

4.2 Spin Degrees of Freedom

4.3 Interaction between Spins

4.4 Electromagnetic Transitions between Spin States

4.5 The ac Stark Shift

4.6 Feshbach Resonances

4.7 Spontaneous Emission

4.8 Atom Loss

4.9 Quantum Jump Method

4.10 References and Further Reading

5 Spinor Bose-Einstein Condensates

5.1 Introduction

5.2 Spin Coherent States

5.3 The Schwinger Boson Representation

5.4 Spin Coherent State Expectation Values

5.5 Preparation of a Spin Coherent State

5.6 Uncertainty Relations

5.7 Squeezed States

5.8 Entanglement in Spin Ensembles

5.9 The Holstein-Primakoff Transformation

5.10 Equivalence between Bosons and Spin Ensembles

5.11 Quasiprobability Distributions

5.12 Other Properties of Spin Coherent States and Fock States

5.13 Summary

5.14 References and Further Reading

6 Diffraction of Atoms Using Standing Wave Light

6.1 Introduction

6.2 Theory of Diffraction.

6.3 Ultra-cold Atom Interaction with Standing Light Wave

6.4 Bragg Diffraction by Standing Wave Light

6.5 Bragg Diffraction by Raman Pulses

6.6 References and Further Reading

7 Atom Interferometry

7.1 Introduction

7.2 Optical Interferometry

7.3 BEC Interferometry

7.4 References and Further Reading

8 Atom Interferometry Beyond the Standard Quantum Limit

8.1 Introduction

8.2 Two-Component Atomic Bose-Einstein Condensates

8.3 Husimi Q-function

8.4 Ramsey Interferometry and Bloch Vector

8.5 Error Propagation Formula and Squeezing Parameter

8.6 Fisher Information

8.7 Controlling the Nonlinear Phase per Atom

8.8 References and Further Reading

9 Quantum Simulation

9.1 Introduction

9.2 Problem Statement: What is Quantum Simulation?

9.3 Digital Quantum Simulation

9.4 Toolbox for Analogue Quantum Simulators

9.5 Example: The Bose-Hubbard Model

9.6 References and Further Reading

10 Entanglement Between Atom Ensembles

10.1 Introduction

10.2 Inseparability and Quantifying Entanglement

10.3 Correlation-Based Entanglement Criteria

10.4 One-Axis Two-Spin Squeezed States

10.5 Two-Axis Two-Spin Squeezed States

10.6 References and Further Reading

11 Quantum Information Processing with Atomic Ensembles

11.1 Introduction

11.2 Continuous Variables Quantum Information Processing

11.3 Spinor Quantum Computing

11.4 Deutsch's Algorithm

11.5 Adiabatic Quantum Computing

11.6 References and Further Reading

References

Index.

Notes:

Title from publisher's bibliographic system (viewed on 26 Jul 2021).

Includes bibliographical references (pages 216-246) and index.

ISBN:

1-108-98224-7

1-108-98211-5

1-108-97535-6

OCLC:

1261766779